Solve 5x tan (8x ) =3x trig function, Mathematics

Assignment Help:

Solve 5x tan (8x ) =3x .

Solution : Firstly, before we even begin solving we have to make one thing clear.  DO NOT CANCEL AN x FROM BOTH SIDES!!! Whereas this may appear like a natural thing to do it WILL cause us to lose solution here.

Hence, to solve this equation first we'll get all the terms on one side of the equation & then factor out an x of the equation.  If we can cancel out an x from all terms then it can be factored out.  Doing this gives,

                                     5x tan (8x ) - 3x = x (5 tan(8x ) - 3) = 0

Upon factoring we can illustrates that we ought to have either,

                                   x= 0      OR      tan (8x ) = 3/5

Note as well that if we'd canceled out the x we would have missed the first solution.  Now, we solved out an equation along with a tangent in it in previous section hence we'll not go into the details of this solution here.  Following is the solution to the trig equation.

x= 0.0676 + ? n/4                                                 n= 0, ±1, ±2,..........

x= 0.4603 + ? n/4

The complete set of solutions then to the original equation is following,

x= 0

x= 0.0676 + ? n/4

x= 0.4603 + ? n/4

n= 0, ±1, ±2,..........


Related Discussions:- Solve 5x tan (8x ) =3x trig function

Find the length of the parallelogram, The perimeter of a parallelogram is 5...

The perimeter of a parallelogram is 50 cm. The length of the parallelogram is 5 cm more than the width. Find the length of the parallelogram. Let w = the width of the parallelo

Definition of functions, Definition: An equation is considered as function...

Definition: An equation is considered as function if for any x in the domain of the equation (the domain is the entire x's which can be plugged into the equation) the equation wil

Calculate the net amount and distance, 1. A train on the Bay Area Rapid Tra...

1. A train on the Bay Area Rapid Transit system has the ability to accelerate to 80 miles/hour in half a minute. A.   Express the acceleration in miles per hour per minute. B

Mss. Ann, I need marketing management sample assignment as a guide

I need marketing management sample assignment as a guide

Intergration, Functional and variations.Block III, Consider the functiona...

Functional and variations.Block III, Consider the functional S[y]=?_1^2 v(x^2+y'')dx , y(1)=0,y(2)=B Show that if ?=S[y+eg]-S[y], then to second order in e, ?=1/2 e?_1^2¦?g^'

Trapezoid rule - approximating definite integrals, Trapezoid Rule - Approxi...

Trapezoid Rule - Approximating Definite Integrals For this rule we will do similar set up as for the Midpoint Rule. We will break up the interval [a, b] into n subintervals of

Real exponents, It is a fairly short section.  It's real purpose is to ackn...

It is a fairly short section.  It's real purpose is to acknowledge that the exponent properties work for any exponent.  We've already used them on integer and rational exponents al

How much will she owe the fabulous fence company, Kelly plans to fence in h...

Kelly plans to fence in her yard. The Fabulous Fence Company charges $3.25 per foot of fencing and $15.75 an hour for labor. If Kelly requires 350 feet of fencing and the installer

Example of making connections of a child with maths, After a lot of effort,...

After a lot of effort, 8-year-old Hari worked out 2 x 88 = 176. When asked to say what 2 x 89 was, after a lot of hard work, he produced the answer 178. How would you help him to r

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd